73971216 has 240 divisors, whose sum is σ = 248609088. Its totient is φ = 20275200.

The previous prime is 73971203. The next prime is 73971221. The reversal of 73971216 is 61217937.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104015 + ... + 1104081.

Almost surely, 2^73971216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73971216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304544).

73971216 is an abundant number, since it is smaller than the sum of its proper divisors (174637872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73971216 is a wasteful number, since it uses less digits than its factorization.

73971216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 73971216 is about 8600.6520683027. The cubic root of 73971216 is about 419.7792036744.

The spelling of 73971216 in words is "seventy-three million, nine hundred seventy-one thousand, two hundred sixteen".